128338848 has 144 divisors (see below), whose sum is σ = 421739136. Its totient is φ = 36587520.

The previous prime is 128338843. The next prime is 128338849. The reversal of 128338848 is 848833821.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (128338841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52665 + ... + 55047.

It is an arithmetic number, because the mean of its divisors is an integer number (2928744).

Almost surely, 2^128338848 is an apocalyptic number.

128338848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128338848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210869568).

128338848 is an abundant number, since it is smaller than the sum of its proper divisors (293400288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

128338848 is a wasteful number, since it uses less digits than its factorization.

128338848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427 (or 2416 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 128338848 is about 11328.6737087799. The cubic root of 128338848 is about 504.4127382477.

The spelling of 128338848 in words is "one hundred twenty-eight million, three hundred thirty-eight thousand, eight hundred forty-eight".